Mass and Networks RevisionBy MaddyMy Task was to create a page to explain mass and networks :)
6.8 - Mass
How do you convert to a different unit?
Key Rules of Converting
To convert to a larger unit, divide your number by 1000
To convert to a smaller unit, multiply your number by 1000
For Example:Q. Convert 3kg to gramsA. 3000g
How to work it out:Because grams are a smaller unit than kilograms, to convert the 3kg, simply multiply 3 by 1000.There's your answer.
How do you work out which is heavier?Example:Q. If the mass of one box is 12.34kg and the mass of another box is 123500g, which is heavier?A. The box weighing 123500g is heavier.
How to work it out:Your first thought might automatically be that the box weighing 12.34kg is heavier, just because kg are a bigger unit than g, but work it out before you presume its the first box.Even if you're pretty sure you know the answer, it's a good idea to check by working it out , before you write your answer.The first thing you need to do to solve the problem is convert the g to kg or vice-versa. Doing this will give you your answer.
Working With Mass
Adding mass is fairly easy. All you need to do is convert the units so they are the same, then simply add them together.The same goes for subtracting, multiplying, dividing mass etc. Review Questions1) Convert: a) 12kg to g b) 400mg to g c) 34g to kg d) 680mg to kg 2) Order from smallest to largest: a) 2kg b) 3080g c) 24g d) 48.99mg e) 39kg 3) 26.3457kg + 26.26g =
The dots are called VERTICES and the lines are called EDGES
It doesn't matter whether the network is to scale or not, what is important is what is connected to what
What are odd and even vertexes?Odd Vertexes:
An odd vertex is a vertex with an odd number of edges connected to it
An even vertex is a vertex with an even number of edges connected to it
What does transversable mean?A network is transversable if it can be traced over completely without lifting the pen or going over a edge more than once.
The image above is of a non-transversable network.
You can determine whether a network is transversable or not by how many odd and even vertexes it has.
A network is transversable if:
It is able to be traced over completely, without going over an edge more than once
All the vertexes are even
It has exactly two odd vertexes (if so, you must start at one of the odd vertexes and finish on the other)
Review Question1) Using the image above, write whether vertices A-F are odd or even vertexes ANSWER:
6.8 - Mass
How do you convert to a different unit?
Key Rules of Converting
For Example:Q. Convert 3kg to gramsA. 3000g
How to work it out:Because grams are a smaller unit than kilograms, to convert the 3kg, simply multiply 3 by 1000.There's your answer.
How do you work out which is heavier?Example:Q. If the mass of one box is 12.34kg and the mass of another box is 123500g, which is heavier?A. The box weighing 123500g is heavier.
How to work it out:Your first thought might automatically be that the box weighing 12.34kg is heavier, just because kg are a bigger unit than g, but work it out before you presume its the first box.Even if you're pretty sure you know the answer, it's a good idea to check by working it out , before you write your answer.The first thing you need to do to solve the problem is convert the g to kg or vice-versa. Doing this will give you your answer.
Working With Mass
Adding mass is fairly easy. All you need to do is convert the units so they are the same, then simply add them together.The same goes for subtracting, multiplying, dividing mass etc.Review Questions1) Convert:
a) 12kg to g b) 400mg to g c) 34g to kg d) 680mg to kg
2) Order from smallest to largest:
a) 2kg b) 3080g c) 24g d) 48.99mg e) 39kg
3) 26.3457kg + 26.26g =
ANSWERS:
7.8 - NetworksKey Rules of NetworksThe dots are called VERTICES and the lines are called EDGES
It doesn't matter whether the network is to scale or not, what is important is what is connected to what
What are odd and even vertexes?Odd Vertexes:What does transversable mean?A network is transversable if it can be traced over completely without lifting the pen or going over a edge more than once.
The image above is of a non-transversable network.
You can determine whether a network is transversable or not by how many odd and even vertexes it has.
A network is transversable if:
Review Question1) Using the image above, write whether vertices A-F are odd or even vertexes
ANSWER: